On dynamics of asymptotically minimal polynomials

DOI10.1016/j.jat.2023.105956arXiv2204.08438OpenAlexW4385382694MaRDI QIDQ6094595

Melike Efe, Turgay Bayraktar

Publication date: 10 October 2023

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.08438

zbMATH Keywords

Julia setextremal polynomialsBrolin measureKlimek topology

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Other special orthogonal polynomials and functions (33C47) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The maximum-entropy measure of a rational endomorphism of the Riemann sphere
• Zeros of Faber polynomials for Joukowski airfoils
• Dynamical dessins are dense
• Complex dynamics
• Julia sets of orthogonal polynomials
• On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets
• Weak limits of the measures of maximal entropy for orthogonal polynomials
• A necessary and sufficient condition for convergence of the zeros of random polynomials
• Invariant sets under iteration of rational functions
• On Faber polynomials and Faber expansions
• Shapes of polynomial Julia sets
• Geometric Limits of Julia Sets with Parameters on the Circle
• Extremal plurisubharmonic functions in $C^N$
• Metrics Associated with Extremal Plurisubharmonic Functions
• GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH
• Fekete polynomials and shapes of Julia sets

This page was built for publication: On dynamics of asymptotically minimal polynomials